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How can you determine if a ray intersects a sphere? The more efficient your solution, the better.


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In one room in your game, there's an elevator that AIs will need to use to escape from the player. In order to use the elevator, they have to walk over to a special button on the wall, press it to summon the elevator, then walk into the elevator and press another button to tell it to ascend. How would you design a system to make sure AIs can do all of these things in the proper order? If you have 3 AIs in the room, how would you design the system to make sure they can all escape in the elevator at the same time? What happens if one of them dies while they're trying to do this, and how do you make sure the other AIs don't get stuck waiting for that dead AI?

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